The ratio of 4^{3.5} : 2^{5} is the same as: | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) To find the ratio of $4^{3.5} : 2^{5}$,we first express both terms with the same base.Since $4 = 2^{2}$,we can rewrite $4^{3.5}$ as $(2^{2})^{3.5}

Vedclass · Accepted Answer

$4:1$

Vedclass · Answer

(B) To find the ratio of $4^{3.5} : 2^{5}$,we first express both terms with the same base.Since $4 = 2^{2}$,we can rewrite $4^{3.5}$ as $(2^{2})^{3.5}$.Using the power rule $(a^{m})^{n} = a^{m 	imes n}$,we get $(2^{2})^{3.5} = 2^{2 	imes 3.5} = 2^{7}$.Now,the ratio becomes $2^{7} : 2^{5}$.Using the division rule for exponents $\frac{a^{m}}{a^{n}} = a^{m-n}$,we have $\frac{2^{7}}{2^{5}} = 2^{7-5} = 2^{2} = 4$.Thus,the ratio is $4 : 1$.

The ratio of $4^{3.5} : 2^{5}$ is the same as:

Similar Questions

If $18: x = x: 8$,then $x$ is equal to

If $3 A = 5 B$ and $2 B = 3 C$,then $A : C$ is

Sachin is younger than Rahul by $4$ years. If their ages are in the respective ratio of $7:9$,how old (in years) is Sachin?

The present ages of $A$ and $B$ are in the ratio $5:6$ respectively. After seven years,this ratio becomes $6:7$. Then the present age of $A$ in years is:

The sum of two numbers is equal to $25$ and their difference is $20$. The ratio of the two numbers is

Vedclass Test Series

Exam Paper Generator

Online Exam Module